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Sloshing is a potential source of disturbance in liquid storage containers. Sloshing flow in ship cargo is excited by ship motion, but the sloshing flow itself affects the ship motion in return. This paper investigates the coupling effects of ship motion with fluid oscillation inside three dimensional rectangular containers using a newly developed time domain simulation scheme. The method has been applied to a number of problems and some typical results are presented that assess the accuracy and applicability of the method. Copyright © 2009 by The International Society of Offshore and Polar Engineers (ISOPE).

Mechanical Engineering

(SoE) School of Engineering

World University root node

Proceedings of the International Offshore and Polar Engineering Conference

A study on complicated coupling effects of 3-D sloshing in rectangular tanks and ship motion

This paper deals with pressure-based finite element analysis of fluid-structure systems considering the coupled fluid and structural dynamics. The present method uses two-dimensional fluid elements and structural line elements for the numerical simulation of the problem. The equations of motion of the fluid, considered inviscid and compressible, are expressed in terms of the pressure variable alone. The solution of the coupled system is accomplished by solving the two systems separately with the interaction effects at the fluid-solid interface enforced by an iterative scheme. Non-divergent pressure and displacement are obtained simultaneously through iterations. The Galerkin weighted residual method-based FE formulation and the iterative solution procedure are explained in detail followed by some numerical examples. Numerical results are compared with the existing solutions to validate the code for sloshing with fluid-structure coupling. © 2008 Elsevier B.V. All rights reserved.

Finite Elements in Analysis and Design

2D simulation of fluid-structure interaction using finite element method

This paper brings into focus some of the interesting effects arising from the motion of the liquid free surface due to sloshing in partially filled containers of several geometrical shapes in two dimensions. The slosh characteristics that include frequencies, free surface profiles and the hydrodynamic pressure over the container walls have been reported in this study. The equations of motion of the fluid, considered inviscid, are expressed in terms of the pressure variable alone. It is assumed that the frequency of the exciting oscillation is not in the immediate neighborhood of the natural slosh frequency, so that the slope of the free surface is small. Simple harmonic oscillation and earthquake excitations are used as the prescribed boundary conditions. A finite difference-based iterative time-stepping technique is employed to advance the solution in the time domain. The paper presents numerical solutions for rectangular, vertically mounted annular cylindrical, trapezoidal and horizontal circular cylindrical containers. Numerical results obtained are compared with the available existing solutions to validate the code developed. The parametric study of the slosh dynamic systems shows the importance of the nature of excitation, fluid height and the geometry of the container. Copyright © 2007 John Wiley & Sons, Ltd.

International Journal for Numerical Methods in Fluids

Slosh dynamics of inviscid fluids in two-dimensional tanks of various geometry using finite element method

Seismic response of liquid storage tank can be strongly influenced by the presence of submerged components. This modification of the dynamic characteristics of the liquid tank systems with internal components can be very useful for improving their seismic behavior. In this paper, a pressure-based finite element technique has been developed to analyze the slosh dynamics of a partially filled rigid container with bottom-mounted submerged components. The fluid is assumed homogeneous, isotropic, inviscid, and to exhibit only limited compressibility. The problem is linearized assuming the frequency of the exciting oscillation not in the immediate neighborhood of the natural slosh frequency, so that the slope of the free surface is small. The linearized problem is spatially discretized using the Galerkin weighted residual method. Earthquake excitations are used as the prescribed boundary condition. The solution is advanced in time using Newmark's constant average acceleration method. The developed code has been used to investigate the effect of a bottom-mounted rectangular component on the slosh dynamics of a liquid-filled rigid container. Numerical results obtained are compared with the existing solutions to validate the code. The parametric study of the tank-fluid system shows the importance of height, width and location of the submerged structural components. © 2007 Elsevier Ltd. All rights reserved.

Journal of Sound and Vibration

Slosh dynamics of liquid-filled containers with submerged components using pressure-based finite element method

The work presented herein can broadly be categorized as a fluid-structure interaction problem. The response of a circular cylindrical structure subjected to cross flow is examined using the finite element method for both the liquid and the structure domains. The cylindrical tube is mounted elastically at the ends and is free to move under the action of the unsteady flow-induced forces. The fluid is considered to be partially compressible and viscous. The flow field is solved using a finite element method applied to the time-dependent Navier-Stokes equations. The cylinder motion is modeled using a five-degrees of freedom generalized shell element structural dynamics model. The numerical simulations of the response of the calandria tubes/pressure tubes, adjuster rod and shut-off rod of a nuclear reactor are presented. A few typical results are presented to assess the accuracy of the developed modules. Copyright © 2005 by ASME.